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Finding the Fourth Proportional to 477,181.49, 715,654.17 and 285,108.35

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Solution

The fourth proportional to 477,181.49, 715,654.17 and 285,108.35 is: 427,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,181.49 : 715,654.17 = 285,108.35 : x
  2. Step 2: Convert to fraction form
    477,181.49/715,654.17 = 285,108.35/x
  3. Step 3: Cross multiply
    477,181.49x = 715,654.17 × 285,108.35
  4. Step 4: Simplify right side
    477,181.49x = 204,038,976,001.05
  5. Step 5: Solve for x
    x = 204,038,976,001.05/477,181.49
  6. Step 6: Final answer
    x = 427,591.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.